Inter Milan before the end of the window amid possible concerns over his attitude in training and his physical shape. Manager Jose Mourinho celebrated the signings of Gareth Bale and Sergio Reguilon at the weekend but has since iterated a need to have a more balanced squad at the North London club.
A new centre-back and centre-forward are two positions he wants fresh blood in - and that could spell the end for the midfielder.
Fans of the recent Amazon Prime documentary on Spurs under Mourinho will note a tense exchange between the Portuguese boss and Alli.
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